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Finding the Fourth Proportional to 305,977, 422,248.42 and 171,841

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Solution

The fourth proportional to 305,977, 422,248.42 and 171,841 is: 237,140.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,977 : 422,248.42 = 171,841 : x
  2. Step 2: Convert to fraction form
    305,977/422,248.42 = 171,841/x
  3. Step 3: Cross multiply
    305,977x = 422,248.42 × 171,841
  4. Step 4: Simplify right side
    305,977x = 72,559,590,741.22
  5. Step 5: Solve for x
    x = 72,559,590,741.22/305,977
  6. Step 6: Final answer
    x = 237,140.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.